what is the sum of 2,888 and 74
Answer:
2962
Step-by-step explanation:
2 8 8 8
+ 7 4
----------------
2 9 6 2
2962
Step-by-step explanation:2888 +
74
---------
2962
8 + 4 = 12
8 + 1 + 7 = 16
8 + 1 = 9
The product of two whole numbers is 504 and their sum is 45. What are the two numbers?
Answer:
21, 24
Step-by-step explanation:
1. Given:
[tex]xy=504[/tex][tex]x+y=45[/tex] [tex]y=45-x[/tex]2. Solution:
[tex]x(45-x)=504[/tex][tex]45x-x^2=504[/tex] [tex]x^2-45x+504=0[/tex] [tex]x^2-24x-21x+504=0[/tex] [tex]x(x-24)-21(x-24)=0[/tex] [tex](x-24)(x-21)=0[/tex] [tex]x_1=24[/tex] ⇒ [tex]y_1=21[/tex] [tex]x_2=21[/tex] ⇒ [tex]y_2=24[/tex]if jeff had 10 cookies and sam ate 10 how many are left?
Answer:
0
Step-by-step explanation:
10-10=0
Two number are
from point A on a number line if the distance from
point A to each of the two numbers is the same.
opposite
similar
away
equidistant
If LM=8 and MN=5 , what is LN
Answer:
23
Step-by-step explanation:
Answer:
The answer is 23
Step-by-step explanation:
Hope this answer is helpful...
Make me as brainliest...
Find all points on the x-axis that are 14 units from the point (6,-7) All points on the x-axis that are 14 units from the point (6, -7) are Simplify your answer. Type an ordered pair. Use a comma to separate answers as needed.)
Answer: [tex](6+7\sqrt{3},0)\text{ and }(6-7\sqrt{3},0)[/tex] are the required points.
or (18.124,0) and ( -6.124,0) are the required points.
Step-by-step explanation:
Let (x,0) be the point on x -axis that are 14 units from the point (6,-7) .
Then by distance formula , we have
[tex]\sqrt{(x-6)^2+(0-(-7))^2}=14\ \ \ [\ \because distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}][/tex]
Taking square on both the sides , we get
[tex](x-6)^2+7^2=14^2\\\\\Rightarrow\ x^2+6^2-2(6)x+49=196\\\\\Rightarrow\ x^2+36-12x=147\\\\\Rightarrow\ x^2-12x=111\\\\\Rightarrow\ x^2-12x-111=0[/tex]
Using quadratic formula : [tex]x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
[tex]x=\dfrac{12\pm\sqrt{(-12)^2-4(1)(-111)}}{2}\\\\\Rightarrow\ x=\dfrac{12\pm\sqrt{144+444}}{2}\\\\\Rightarrow\ x=\dfrac{12\pm\sqrt{588}}{2}\\\\\Rightarrow\ x=\dfrac{12\pm\sqrt{2^2\times7^2\times3}}{2}\\\\\Rightarrow\ x=\dfrac{12\pm14\sqrt{3}}{2}\\\\\Rightarrow\ x=6\pm7\sqrt{3}[/tex]
so, [tex](6+7\sqrt{3},0)\text{ and }(6-7\sqrt{3},0)[/tex] are the required points.
since [tex]\sqrt{3}=1.732[/tex]
so, [tex](6+7(1.732),0)\text{ and }(6-7(1.732),0)[/tex] are the required points.
i.e. (18.124,0) and ( -6.124,0) are the required points.
tristan wants to build a square garden in his backyard. if the garden is going to be 64 ft squared how many feet of material will he need for the perimeter of the garden?
Answer:
32 ft
Step-by-step explanation:
First Tristan must determine the length of one side of his square garden. Sine A = x^2, where x is the length of one side, and since 64 ft^2 = x^2, we can find the length x by taking the square root of both sides: 8 ft = x.
Now the length of the material enclosing the garden is the perimeter, P.
For a square, P = 4x.
Therefore, in this case, P = 4(8 ft) = 32 ft
Nina goes to the neighborhood store to buy 14 rolls of toilet paper. If she spent $20.02 in all for her purchase, how much does one roll of toilet paper cost?
Answer:
Each roll is $1.43.
Step-by-step explanation:
20.02 ÷ 14 = 1.43.
1.43 × 14 = 20.02.
A square hada perimeter of 29x^2-24x-16 what is the side length
Answer:
7.25x²-6x-4
Step-by-step explanation:
29x²-24x-16
÷4=
7.25x²-6x-4
evaluate the expression when p= 12 and m =15;p-m
Use the number line below, where , RS=6y+2, ST=15y+9 and RT=5y-13. Find
the value of RS, ST, and RT *
Answer:
RS = - 7
ST = - 13.5 = - 13½
RT = - 20.5 = - 20½
Step-by-step explanation:
From the question given above, the following were obtained:
RS = 6y + 2
ST = 15y + 9
RT = 5y - 13
To obtain RS, ST and RT, we must first obtain the value of y. This can be obtained as follow:
From diagram above, it is evident that:
RT = RS + ST
RS = 6y + 2
ST = 15y + 9
RT = 5y - 13
5y - 13 = 6y + 2 + 15y + 9
5y - 13 = 6y + 15y + 2 + 9
5y - 13 = 21y + 11
Collect like terms
5y - 12y = 11 + 13
- 16y = 24
Divide both side by - 16
y = 24/ - 16
y = - 1.5
Finally, we shall determine RS, ST and RT as follow:
RS = 6y + 2
y = - 1.5
RS = 6(-1.5) + 2
RS = - 9 + 2
RS = - 7
ST = 15y + 9
y = - 1.5
ST = 15(-1.5) + 9
ST = - 22.5 + 9
ST = - 13.5 = - 13½
RT = 5y - 13
y = - 1.5
RT = 5(-1.5) - 13
RT = - 7.5 - 13
RT = - 20.5 = - 20½
Solve the following equation 2x=15-1x
Answer:
x = 5
Step-by-step explanation:
2x = 15 - 1x
add 1x to both sides
3x = 15
divide both sides by 3
x = 5
Answer:
X=5
Step-by-step explanation:
Add 1x on both sides so you can get like terms on one side now you have 3x=15 You will now divide by 3 on both sides to get x by itself so you end up with X=5
1. Simplify each of the following fractions
leaving each as an improper fraction, not a whole
number. Do not use your calculator!
4.50
5
3.2
8
Answers:
9/2
5/1
16/5
8/1
If a student gets an A on a final exam, then the student will pass the course.
The student gets an A on the final exam.
Answer: PERIOD
Step-by-step explanation:
Get good grades on your assignments and the student will pass the course with an A.
How to find measurement of degree?
Answer:
It's 30 degrees. YSX and QSL are verticals so they are equal. Then QSL AND MLP are corresponding so they are too equal. So then yeah.
Answer:
30°
Step-by-step explanation:
It’s important to note the angle relationships.
We have two parallel lines intersecting one line. This means that each of the angles formed by one line will be equal to the angles formed by the other.
Using this info, we can tell that XYZ and MLP are alternate exterior angles, since they are formed by two parallel lines.
Alternate exterior angles are equal: since we know XYZ is 30°, MLP must be 30°.
Hope this helped!
The average hourly wage of computer programmers with 2 years of experience has been $21.80.Because of high demand for computer programmers,it is believed there has been a significant increase in the average wage of computer programmers.To test whether or not there has been an increase,the correct hypotheses to be tested area. H0: μ < 21.80 Ha: μ >= 21.80b. H0: μ = 21.80 Ha: μ ≠ 21.80c. H0: μ > 21.80 Ha: μ =< 21.80d. H0: μ <= 21.80 Ha: μ > 21.80
Answer:
d. H0: μ <= 21.80 Ha: μ > 21.80
Step-by-step explanation:
We set the null hypothesis as what is already given . We are already informed that the average wage is equal to μ <= 21.80 against the claim that is required. It is required to test whether the average wage of the computer programmers is greater than μ > 21.80
So option d is the best answer.
Hypotheses testing is done using an observation and a claim. The observation is set as a null hypothesis and claim is set as an alternative hypothesis. The null and alternative hypotheses must be chosen wisely to get the correct results.
The critical region is dependent on the claim set.
A can do a piece of work in 20 days and B can do it in 12 days,B work for 9 days,in how many days A alone can do the work
Answer: 9
Step-by-step explanation:
Match the following items by evaluating the expression for x = -6. x^-2 x^-1 x^0 x^1 x^2
Answer:
see below
Step-by-step explanation:
x = -6 ⇒
x^-2 = (-6)^-2 = 1/36x^-1 = (-6)^-1 = -1/6x^0 = (-6)^0 = 1x^1 = (-6)^1 = -6x^2 = (-6)^2 = 36Answer:
x = - 6
Step-by-step explanation:
x = -6x⁻² x⁻¹ x⁰ x¹ x²
x² = 0, x = 0
x¹ = 0, x = 0
the following points are undefined
x = 0
combine undefined points with solutions:
x = - 6
Jennifer is currently standing at 25 feet above sea level. Jim is swimming at 9 feet below sea level. How far apart are Jim and Jennifer? A. -34 b. -16 c. 16 d. 34
Answer:
D. 34 ft
Step-by-step explanation:
25+9=34
Jim is 34ft below Jenifer
Four out of 12 goldfish in an aquarium ate their food. What ratio represents the
goldfish that ate their food to those that did not?
Answer:
4-8
Step-by-step explanation:
Answer:
1:3
Step-by-step explanation:
I changed 4/12 to a fraction then simplified it
4/12=1/3
one gold fish ate their food for every 3 they fed
Suppose you have a credit card debt of $4,000. Last month the bank charged you $40 interest on the debt. The solution to the equation 40= 4000/12r represents the annual interest rate (r) on the credit card. Find the annual interest rate on the credit card.
Answer:
12%
Step-by-step explanation:
As per the given formula:
40= 4000/12rr = 40*12/4000r = 0.12 0.12*100% = 12%Interest rate is 12%
Open the line reflection application. The right line is a reflection across the y-axis of the left line. Click the reflect over y-axis button. Are these lines the same? What does this mean about how a line changes when you reflect it?
Answer:
The lines are the same, they are just in a different position.
Step-by-step explanation:
A reflection is a type of rigid transformation. Rigid transformations do not change the size nor the length of the pre-image.
In other words, the pre-image and the image in a rigid transformation are congruent.
Hope this helps.
Based on the fact that the right line is a reflection across the y-axis, the lines are the same, they are just in a different position.
What is a Reflection?This refers to the rigid transformation type that is used to represent an image and does not change its size or length of it.
With this understanding, we can see that the pre-image and the image in a rigid transformation are congruent which makes the lines to be the same, even if they are in a different position.
Read more about line reflection here:
https://brainly.com/question/22342234
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The domain for variable x is the set of all integers. Select the statement that is true.
A. ∃x (3x=1)
B. ∃x (x2<1)
C. ∀x (x2=1)
D. ∃x (x2<0)
Answer:
B. ∃x (x2<1)
Step-by-step explanation:
When we take X = 0 and Placing it in each option as follow
A.
∃x (3x=1)
∃x (3(0)=1)
∃x (0=1)
Which is not true
B.
∃x (x2<1)
∃x ((0)2<1)
∃x (0<1)
Which is true
C.
∀x (x2=1)
∀x ((0)2=1)
∀x (0=1)
Which is not true
D.
∃x (x2<0)
∃x ((0)2<0)
∃x (0<0)
Which is not true.
When Barbara started her trip, the odometer read 13,487.8. When she ended the trip, it read
14,108.6. Barbara's car gets 22 miles per gallon. Her tank was full at the beginning of the
trip. When she filled the tank, it cost her $88.04. How many gallons did Barb use, and what
price did she pay per gallon of gas on this fill-up?
HELP ASAP PLEASE
Answer:
28.2 gal
$3.12/gal
Step-by-step explanation:
Length of trip:
14,108.6 mi - 13,487.8 mi = 620.8 mi
(620.8 mi)/(22 mpg) = 28.218 gal
She used 28.2 gallons.
price per gallon = $88.04/(28.218 gal) = $3.12/gal
Which of the following lines is parallel to x = 8?
a. 3y = 16
b. x = 7
c. х = y
d y = 8
Answer:
d. y = 8
Step-by-step explanation:
The given line is of the form ...
y = constant
A parallel line must be of the same form. The matching answer is ...
y = 8
There are 40 nickels in a roll. If you have 150 rolls of nickels, how many nickels do you have?
You would have 6,000 nickels. Multiply 40 by 150
There are 6000 Nickels in 150 rolls of Nickle.
To find out the total number of nickels you have, you need to multiply the number of nickels in a single roll by the number of rolls.
Given that there are 40 nickels in a roll and you have 150 rolls..
So, the total number of nickels can be calculated as:
= 40 nickels/roll x 150 rolls
= 6000 nickels.
Therefore, you have 6000 nickels.
Learn more about Unitary Method here:
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What is the equivalent algebraic expression of " 5 less than four times a
number x " ?
WILL GOVE BRAINIEST !!!! HELP
Answer:
1. 15
2.-54
3.-19
4.1.5
5.-5
6.63
7.1
8.-26
9.-4
10.7
11. 0
12. -4
Step-by-step explanation:
all you do is plug in the number within the parentheses to the equation as the variable x and solve from there.
If a train travels at 66 mph for 10 min, what is the distance traveled?
Answer:
11 miles
Step-by-step explanation:
find how many miles per minute
66 / 60 = 1.1
find how many miles in 10 minutes
1.1 • 10 = 11
11 miles
Answer:
11 miles
Step-by-step explanation:
66 miles per hour
Convert minutes to hours
10 minutes * 1 hour/ 60 minutes = 1/6 hour
distance = rate * time
= 66 miles per hour * 1/6 hour
= 11 miles
graph x= -2y by plotting the intercepts.
Step-by-step explanation:
Graph the line using the slope and y-intercept, or two points.
slope:-1/2
y-intercept:(0, 0)
Answer:
slope: [tex]-\frac{1}{2}[/tex]
y intercept: [tex]0,0[/tex]
Step-by-step explanation:
Here is a graph.
Hope this Helps!